Question

Factor x3 + 2x2 + 5x + 10

Answer 1

well this ones tricker, you have to do more of a trial and error to break apart the "^3" cubic part.

Answer 2

we can increase our odds by taking the factors of 10 as a pool of numbers to test.

1,10; 2,5

I use synthetic division to test it becasue its just less clutter

Answer 3

lets try x = -1:


-1| 1 2 5 10
0 -1 -1 -4
-----------
1 1 4 6 <- not a zero, not a factor

Answer 4

x = -2 maybe?

-2| 1 2 5 10
0 -2 0 -10
-----------
1 0 5 0 <- zero!! we have a winner..

Answer 5

(x+2)(x^2+5x)

Answer 6

opps...silly superhero....

(x+2) (x^2+5)

Answer 7

Try factoring by grouping.
x^3 + 2x^2 + 5x + 10
x^2(x+2)+5(x+2)
(x^2+5)(x+2)

Answer 8

lol

Answer 9

hey grouping does work with this one.... that was cool ;)

Answer 10

of course its not as brainiacal as mine...but you know ;)

Answer 11

yes lol

Answer 12

9x2 + 48x + 64